Try Magic Notes and save time.Try it free
Try Magic Notes and save timeCrush your year with the magic of personalized studying.Try it free
Question

# A $0.35\ \text{kg}$ mass at the end of a spring oscillates $2.5$ times per second with an amplitude of $0.15\ \text{m}$. Determine(a) the velocity when it passes the equilibrium point,(b). the velocity when it is $0.10\ \text{m}$ from equilibrium,(c). the total energy of the system, and(d). the equation $x(t)$ describing the motion of the mass, assuming that at $t=0$, $x(t)$ was a maximum.

Solution

Verified
Step 1
1 of 8

Let $m$ be the mass of the block, $f$ the frequency of oscillation, and $A$ the amplitude.

\begin{align*} m &= 0.35\ \text{kg} \\ f &= 2.5\ \text{Hz} \\ A &= 0.15\ \text{m} \end{align*}

The law of conservation of energy will be applied extensively in this problem.

## Recommended textbook solutions #### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

4th EditionISBN: 9780133942651 (4 more)Randall D. Knight
3,508 solutions #### Mathematical Methods in the Physical Sciences

3rd EditionISBN: 9780471198260Mary L. Boas
3,355 solutions #### Introduction to Quantum Mechanics

3rd EditionISBN: 9781107189638 (2 more)Darrell F. Schroeter, David J. Griffiths
485 solutions #### Fundamentals of Physics

10th EditionISBN: 9781118230718 (1 more)David Halliday, Jearl Walker, Robert Resnick
8,971 solutions